Study of Stark-ladder resonances in random chains in a constant electric field

Abstract
An electron in a disordered potential in the presence of a constant electric field is studied in one dimension. Using different criteria from scattering theory we find that there are Stark-ladder-like resonances in the electronic spectrum. A detailed analysis of the statistical properties of these resonances and their connection to the resistance as a function of disorder and field strength is given. The possibility of seeing these resonances in the resistance of ultranarrow wires is suggested.